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Matematicheskie Zametki, 2017, Volume 102, Issue 6, Pages 917–930
DOI: https://doi.org/10.4213/mzm11499 (Mi mzm11499) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Unique Continuation of the Germs of Solutions of First-Order Differential Equations along Curves

N. A. Shananin

State University of Management, Moscow
Full-text PDF (516 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm11499
Abstract: For solutions of linear, weakly nonlinear, and quasilinear first-order differential equations, we obtain theorems on the unique unbounded continuation of germs along continuous curves contained in the integral submanifolds of the distribution induced by the major part of the equation.
Keywords: germs of solutions, unique continuation, unique definiteness of germs.
Received: 16.12.2016
Revised: 12.02.2017
English version:
Mathematical Notes, 2017, Volume 102, Issue 6, Pages 855–866
DOI: https://doi.org/10.1134/S0001434617110256
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: N. A. Shananin, “On the Unique Continuation of the Germs of Solutions of First-Order Differential Equations along Curves”, Mat. Zametki, 102:6 (2017), 917–930; Math. Notes, 102:6 (2017), 855–866
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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